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Event-triggered dissipative synchronization for Markovian jump neural networks with general transition probabilities
Liu, Yajuan1,2; Park, Ju H.2; Guo, Bao-Zhu3; Fang, Fang1; Zhou, Funa4
2018-09-10
Source PublicationINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
ISSN1049-8923
Volume28Issue:13Pages:3893-3908
AbstractIn this paper, dissipative synchronization problem for the Markovian jump neural networks with time-varying delay and general transition probabilities is investigated. An event-triggered communication scheme is introduced to trigger the transmission only when the variation of the sampled vector exceeds a prescribed threshold condition. The transition probabilities of the Markovian jump delayed neural networks are allowed to be known, or uncertain, or unknown. By employing delay system approach, a new model of synchronization error system is proposed. Applying the Lyapunov-Krasovskii functional and integral inequality combining with reciprocal convex technique, a delay-dependent criterion is developed to guarantee the stochastic stability of the errors system and achieve strict (Q,S,R)- dissipativity. The event-triggered parameters can be derived by solving a set of linear matrix inequalities. A numerical example is presented to illustrate the effectiveness of the proposed design method.
Keyworddissipative synchronization event-triggered control general transition probabilities Markovian jump neural networks
DOI10.1002/rnc.4110
Language英语
Funding ProjectNational Natural Science foundation of China[51676068] ; Fundamental Research Funds for the Central Universities[2018MS028] ; National Research Foundation of Korea[2013R1A1A2A10005201]
WOS Research AreaAutomation & Control Systems ; Engineering ; Mathematics
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS IDWOS:000439507100004
PublisherWILEY
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/33429
Collection中国科学院数学与系统科学研究院
Corresponding AuthorPark, Ju H.
Affiliation1.North China Elect Power Univ, Sch Control & Comp Engn, Beijing 102206, Peoples R China
2.Yeungnam Univ, Dept Elect Engn, Gyongsan 38541, South Korea
3.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
4.Henan Univ, Sch Comp & Informat Engn, Kaifeng 475004, Peoples R China
Recommended Citation
GB/T 7714
Liu, Yajuan,Park, Ju H.,Guo, Bao-Zhu,et al. Event-triggered dissipative synchronization for Markovian jump neural networks with general transition probabilities[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2018,28(13):3893-3908.
APA Liu, Yajuan,Park, Ju H.,Guo, Bao-Zhu,Fang, Fang,&Zhou, Funa.(2018).Event-triggered dissipative synchronization for Markovian jump neural networks with general transition probabilities.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,28(13),3893-3908.
MLA Liu, Yajuan,et al."Event-triggered dissipative synchronization for Markovian jump neural networks with general transition probabilities".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 28.13(2018):3893-3908.
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